7x-2(x-1)=8x+18-2x

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Solution for 7x-2(x-1)=8x+18-2x equation: 


Simplifying
7x + -2(x + -1) = 8x + 18 + -2x

Reorder the terms:
7x + -2(-1 + x) = 8x + 18 + -2x
7x + (-1 * -2 + x * -2) = 8x + 18 + -2x
7x + (2 + -2x) = 8x + 18 + -2x

Reorder the terms:
2 + 7x + -2x = 8x + 18 + -2x

Combine like terms: 7x + -2x = 5x
2 + 5x = 8x + 18 + -2x

Reorder the terms:
2 + 5x = 18 + 8x + -2x

Combine like terms: 8x + -2x = 6x
2 + 5x = 18 + 6x

Solving
2 + 5x = 18 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
2 + 5x + -6x = 18 + 6x + -6x

Combine like terms: 5x + -6x = -1x
2 + -1x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -1x = 18 + 0
2 + -1x = 18

Add '-2' to each side of the equation.
2 + -2 + -1x = 18 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 18 + -2
-1x = 18 + -2

Combine like terms: 18 + -2 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16

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